The probability that a client owns both stocks and bonds in their retirement portfolio is 0.22.
We know the formula for the probability of the intersection of two events,
P(A and B) = P(A) x P(B|A)
Where P(A) is the probability of event A,
And P(B|A) is the conditional probability of event B given that event A has occurred.
In this case,
We want to find the probability that a client owns both stocks and bonds, so we can let,
A = owning stocks B = owning bonds
According to the problem statement,
P(A) = 0.80 (the probability of owning stocks)
P(B) = 0.40 (the probability of owning bonds)
P(A and B|B) = 0.55 (the probability of owning stocks given that the client already owns bonds)
Using the formula, we can calculate the probability of owning both stocks and bonds as,
⇒ P(A and B) = P(B) x P(A and B|B)
= 0.40 x 0.55
= 0.22
Therefore, The probability that a client owns both stocks and bonds in their retirement portfolio is 0.22 or 22%.
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Given circle E with diameter CD and radius EA. AB is tangent to E at A. if AD = 15 and EC = 14, solve for AC.
Answer:
AC ≈ 23.6 units
Step-by-step explanation:
m∠CAD = 90°
CD = 2×14 = 28 , AD = 15
CD² = AD² + AC² ⇒ AC² = CD² - AD²
AC² = 28² - 15² = ( 28 - 15 )( 28 + 15 ) = 13 × 43 = 559
AC ≈ 23.6
Solve the equation.
6+q=1
Answer:
-5
Step-by-step explanation:
6 - 5 = 1
so 6 + -5 is also equal to 1
Answer:
q = -5
Step-by-step explanation:
Step 1 : Simplify: 6/q
Step 2 :
Rewriting the whole as an Equivalent Fraction
Equation at the end of step 2 :
(6 - q)
——————— - 2 = 0
q
Step 3 :
Rewriting the whole as an Equivalent Fraction
Step 4 :
Pulling out like terms
Answer: q = -5
Hope this helps.
Triangle ABC is translated right 8 units and down 15 units to triangle XYZ. Triangle ABC
has these angle measures:
m∠A=45∘
m∠B=53∘
m∠C=82∘
What is the measure of angle Y?
9514 1404 393
Answer:
53°
Step-by-step explanation:
The names of the triangles indicate that angle B corresponds to angle Y. Translation does not affect side lengths or angle measures, so angle Y is the same measure as angle B.
m∠Y = 53°
Answer: 53
Step-by-step explanation:
3 tons and 700 pounds = how many pounds
Answer:
1 ton=2,000 pounds so 6,700 pounds
Step-by-step explanation:
Solve each system using Cremer’s rule and please describe how you got the answer
9. The solution is (x, y) = (4/3, -5/3).
10. The solution is (x, y) = (1, 2).
The coefficient matrix is:
| -1 5 |
| 1 -2 |
The determinant of the coefficient matrix is:
|-1 5 | |-2 5 |
| 1 -2 | = (-1)(-2) - (5)(1) = 3
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 2 5 |
|-2 -2 |
The determinant of this matrix is:
| 2 5 | | -2 5 |
|-2 -2 | = (2)(-2) - (5)(-2) = -4 + 10 = 6
|-1 2 |
| 1 -2 |
The determinant of this matrix is:
|-1 2 | | 1 2 |
| 1 -2 | = (-1)(-2) - (2)(1) = 2
Using Cramer's rule:
x = |2 5| / 3 = 4/3
|-2 -2|
y = |-1 2| / 3 = -5/3
|1 -2|
10.The coefficient matrix is:
| -5 -5 |
| -2 -4 |
The determinant of the coefficient matrix is:
|-5 -5 | |-2 -5 |
|-2 -4 | = (-5)(-4) - (-5)(-2) = -10
The matrix formed by replacing the first column of the coefficient matrix with the constants on the right side of the equation is:
| 25 -5 |
| 16 -4 |
The determinant of this matrix is:
| 25 -5 | | 16 -5 |
| 16 -4 | = (25)(-4) - (-5)(16) = -100 + 80 = -20
|-5 25 |
|-4 16 |
The determinant of this matrix is:
|-5 25 | |-4 25 |
|-4 16 | = (-5)(16) - (25)(-4) = -80 -(-100) = 20
Using Cramer's rule:
x = |-5 -5| / -10 = 1
|-2 -4|
y = |-5 25| / -10 = 2
|-4 16|
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Can someone help??????
Answer:
rotate 180
Step-by-step explanation:
because you can try it urself
A relationship might exist in a sample even though it does not exist in the population, because of: a incorrect inference b.sampling error c. confounding variables d. idiosyncratic variance
A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error
In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.
Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.
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The Jackson family just bought 15-packs of Lacroix at Costco. On average, their family drinks about eight cans a week after how many weeks will there be only five cans left? Show how you figured it out.
If the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
Total number of packs they bought = 15 pack
The average cans they finish each week = 8
Number of cans left = 5 cans
Number of cans used = Total number of packs they bought - Number of cans left =
= 15 - 5
= 10 cans
After how many weeks will there be only five cans left = Number of cans used ÷ The average cans they finish each week
Here we have to use the division
Substitute the values in the equation
After how many weeks will there be only five cans left = 10 /8
= 1.25 weeks
Hence, if the Jackson family just bought 15 pack of Lacroix at Costco and the family drinks about eight cans a week, then after 1.25 weeks
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What is the area of the circle shown in square inches? Use 22/7 for π
Answer:
616 in ^2
Step-by-step explanation:
area = radius (squared) times pi or 22/7
Answer:
Step-by-step explanation:88
A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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PLSSS HELP IF YOU TURLY KNOW THISS
9/10 is greater than 6/10
6/10 <9/10
Answer:
B. < less than
Step-by-step explanation:
6/10 is less than 9/10. Both fractions have the same denominator so just compare the numerators.
hope this helps, brainliest appreciated!
how are the factors that are not controlled dealt with
Uncontrollable factors can have an effect on the result of a scenario or experiment. Here are a few strategies for dealing with such factors:
Recognize the variables, Reduce the impact, Randomization, Statistical analysis, Concentrate on what you can control.
Recognize the variables: The first stage is to identify the uncontrollable elements and acknowledge their possible effect on the result. This allows you to plan for unexpected events and alter your expectations accordingly.
Reduce the impact: Even if you can't control the circumstances, you can reduce their influence by taking particular activities. For example, if weather conditions may have an impact on the result of an outdoor event, you may want to arrange it during a more favourable time of year.
Randomization: When dealing with uncontrolled elements in a scientific experiment, randomization can assist in evenly distributing the impact of these factors among multiple groups.
Statistical analysis: In data analysis, statistical analysis can help to account for the impact of uncontrollable factors. Statistical models can provide more accurate estimates of the influence of a given variable by controlling for other variables and accounting for the variability produced by uncontrolled factors.
Concentrate on what you can control: In many circumstances, it is more productive to focus on what you can control than than fretting about what you can't. You may be able to mitigate the effects of uncontrollable elements to some extent by recognising and maximising the controllable factors.
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947×3 What is the answer
947 * 3
= 2841 dominoes
Answer:
2841
Step-by-step explanation:
Help? I’m not sure what this is but I’m sure it’s easy and I’m just over thinking
Answer:
It D bro the answer is D [][][][][][]
Answer: D makes the most sense to me
Step-by-step explanation:
Find the change in profit P for the given marginal. Assume that the number of units x increases by 5 from the specified value of x. (Round your answer to two decimal places.) Marginal Number of Units, x dP dx = 12.1 60 − 3 x x = 121
The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50
To find the change in profit (ΔP) when the number of units (Δx) increases by 5.
we need to evaluate the marginal profit function and multiply it by Δx.
The marginal profit function is given by dP/dx = 12.1(60 - 3x).
We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.
dP/dx = 12.1(60 - 3(121))
= 12.1(60 - 363)
= 12.1(-303)
= -3666.3
Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.
ΔP = dP/dx×Δx
= -3666.3 × 5
= -18331.5
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a small town in the UK has only 600 high school students. what is the largest possible sample you can take from this town and still be able to calculate the standard deviation of the sampling distribution of p-hat?
To calculate the standard deviation of the sampling distribution of p-hat, the answer will be 59 students.
By calculating,
600/10=60 and 59 students which is less than 10% of the population.
A sampling distribution, also known as a finite-sample distribution, in statistics is the probability distribution of a given random-sample-based statistic. The sampling distribution is the probability distribution of the values that the statistic takes on if an arbitrarily large number of samples, each involving multiple observations (data points), were used separately to compute one value of a statistic (such as, for example, the sample mean or sample variance) for each sample. Although only one sample is frequently observed, the theoretical sampling distribution can be determined.
Because they offer a significant simplification before drawing conclusions using statistics, sampling distributions are crucial in the field. They enable analytical decisions to be made based on the probability distribution of a statistic rather than the combined probability distribution of all the individual sample values
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what is full number pi?
Answer: it is impossible to write the entire number
Step-by-step explanation:
pi is irrational, which means you cannot write it exactly as a decimal. You can round it to 3.1415 or use 22/7, but these are not exactly equal to pi. There is no end to the digits, it’s never ending.
A parcel of land is created by three intersecting roads, as shown. The parcel of land is in the shape of an isosceles triangle. The lengths of the sides of a 45o - 45o - 90o triangle has relationships as shown (the lengths of the legs are congruent and the length of the hypotenuse is the length of the leg(s) times the square root of 2). If the length of the longest side is approx. 240.42 yards, what is the length of the legs and what is the AREA of the parcel of land? Round your answers to the nearest yd2.
The AREA of the parcel of land area is 14382 sq yd nearest square yard
How to calculate the AREA of the parcel of land areaWe can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).
We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:
longest side = x√2
240.42 = x√2
x = 240.42/√2
x ≈ 169.71
Therefore, the length of each leg is approximately 169.71 yards.
To find the area of the triangle, we can use the formula for the area of a triangle:
area = 1/2 * base * height
In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.
Using x = 169.71 as the base and height, we get:
area = 1/2 * 169.71 * 169.71
area ≈ 14382.42
Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.
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Given a sample mean of 130 and a sample standard deviation of 20, a point estimate of the unknown population mean would equal:
Answer:
1300
Step-by-step explanation:
130×10 thats the answer yoo
Asphere has radius of 3 cm. What is the volume of the sphere?
Answer:
radius =3cm
volume of the sphere =4/3 πr^3
=4/3*22/7*3*3*3=88/7*3*3=88/7*9=792/7
=113.1cm^3
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $16 plus $7 per hour. Darlene's Dog Sitting charges $20 plus $5 per hour.
Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost
will be the same for the two services. In your equation, use x to represent the number of hours of dog
sitting
The equation is
The total cost will be the same for the two services at
hours.
Answer: both services will cost the same if it is for 3 hours service.
Step-by-step explanation: Hope this helps.
Define x: Let x be the number of hours
Derrick Dogs sitting:
Fixed charged=$12
Hourly change=$5
Total charge=12+5x
Darlene dog sitting:
Fixed charged=$18
Hourly change=$3
Total charge= 18+3x
Find the total number of hours so that both cost are the same:
12 + 5x = 18 + 3x
5x - 3x = 18 - 12
2x = 6
x = 3
ANSWER: both services will cost the same if it is for 3 hours service
Answer:
3 hours hon
Step-by-step explanation:
Linda rented a bike from Bruno's Bikes. They charged her $5 per hour, plus $12 fee. Linda paid less than $36. Write an inequality to find x, the number of hours Linda rented the bike.
Answer:
5x+12=36
Step-by-step explanation:
Answer:13
Step-by-step explanation:
3 divided by 2/3 (hurry pleaseee)
Answer15
Step-by-step explanation:
$24.60 for 4 hours of shoveling and 14.90 for 2 hours of coaching. for which job did she earn more money per hour?
For shoveling:
24.60 / 4 = $6.15 per hour
For coaching:
14.90 / 2 = $7.45 per hour
She earned more per hour from coaching.
The coach for a basketball team wants to try I buy new shoes for her 12 players.
The same shoes are available on double dribble’s web site for $57.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two sites?
The difference in the total costs of the 12 pairs of shoes between the two sites is $46.77,
How to find the cost difference and total cost?Total cost is the sum up cost for all the individual process. we can find it by adding the cost for each steps.
In the given ques,
Super Sports is offering a 20% discount.
and shoes were originally priced at $72.50 and that a 6.5% sales tax will be applied.
On Double Dribbles, the same shoes were on for $54.75, and a 9% is added and has an extra $5.99 for shipping.
i.e. we have to find the difference in the total costs..
Now we have to multiply 12 by 72.50. The answer to that is 870. Next, we need to multiply 8 by 870 and divide it by 10. The answer to that is 696. Then, we need to add the price and the tax. The price will be 100%, and the tax will be 6.5%. 100 + 6.5 = 106.5. After that, we need to 106.5 by 100. The answer it that is 1.065. Now do times 1.065 by 696. And the answer to that is $741.24.
Do the same for other store. The answer to it is 788.01.
Thus, making Super Sports a better deal.
As, we need to find the difference. So, 788.01 - 741.24 = $46.77.
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The complete question is :
The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's website for $54.75. A 9% processing fee will be applied to the cost of the shoes, plus a shipping fee of $5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two stores?
2/5 ÷ 3 1/10,4 1/3 ÷ 4/7, 3 1/6 ÷ 9/10, and 5/8 ÷ 2 7/12. Could anyone help me with those problems please?
2/5 by 31/10 is 4/31 and 4 1/3 by 4/7 is 91/12 and 3 1/6 by 9/10 is 95/27 and 5/8 by 2 7/12 is 15/62.
Pls help i need help!
Answer:
Humerus
Step-by-step explanation:
NAME OF THE BONE UNDER SHOULDERS
Answer:
Humerus
Step-by-step explanation:
Joint Distributions (10 points) Let (X,Y) ~ Unif(D), where D = {(x, y) = R²: x² + y² ≤ 1}. Let R := √X² +Y².
(a) Find the marginal probability density functions of X and Y. Are X and Y independent?
(b) Compute Cov(X, Y). Are X and Y uncorrelated?
(c) Compute P(X ≤Y). (For full points you need to show calculations.)
The marginal probability density functions of X and Y are both uniform on the interval [-1, 1]. X and Y are not independent because the joint distribution depends on the constraint x² + y² ≤ 1. The covariance of X and Y is zero, indicating that they are uncorrelated. The probability of X being less than or equal to Y can be computed as 1/4.
(a) To find the marginal probability density functions of X and Y, we need to integrate the joint probability density function over the appropriate ranges. Since (X, Y) follows a uniform distribution over the unit disk D, the joint probability density function is constant within D and zero outside D.
The area of the unit disk is π, so the constant joint probability density function is 1/π within D. To find the marginal probability density function of X, we integrate the joint density function over the range of Y from -√(1 - x²) to √(1 - x²). This gives us the probability density function fX(x) = 1/π * 2√(1 - x²).
Similarly, integrating the joint density function over the range of X from -√(1 - y²) to √(1 - y²) gives us the marginal probability density function of Y: fY(y) = 1/π * 2√(1 - y²).
Since the marginal probability density functions are not constant, X and Y are not independent.
(b) The covariance of X and Y can be computed as Cov(X, Y) = E[XY] - E[X]E[Y]. Since X and Y are uniformly distributed on [-1, 1], their expected values are both zero. Thus, E[X]E[Y] = 0.
To compute E[XY], we can integrate the product of X and Y over the region D. However, since X and Y are symmetric with respect to the origin, their product is also symmetric. This means that the positive and negative regions of D will cancel out, resulting in E[XY] = 0.
Therefore, Cov(X, Y) = 0, indicating that X and Y are uncorrelated.
(c) To compute P(X ≤ Y), we need to determine the area of the region where X is less than or equal to Y within the unit disk D. This region corresponds to the quarter disk in the first quadrant.
The area of the quarter disk is 1/4 of the area of the unit disk, which is π/4. Since the area of D is π, we have P(X ≤ Y) = (π/4) / π = 1/4.
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Taking the square root is the ________ of squaring a number.
Answer:
Inverse
Step-by-step explanation:
Taking the square root is the inverse operation of squaring a number.
6 miles East 4 miles Southeast 4 miles South 7 miles Southwest 4 miles East This person has walked a total of Find the total displacement vector for this walk:
On solving the provided question, we can say that vectors are - 4 miles E: <4, 0>; 4 miles SE: <2√2, -2√2>; 7 miles S: <0, -7>; 6 miles SW: <-3√2, -3√2>; 2 miles E: <2, 0>
what is vector?In mathematics, a vector is a quantity with magnitude and direction but no location. Acceleration and velocity are two examples of such numbers. A thing with both magnitude and direction is called a vector. A vector can be conceptualised geometrically as a directed line segment, the length of which corresponds to the magnitude of the vector, and the direction of which is denoted by an arrow. Size and direction are two independent characteristics of a quantity or phenomena known as a vector. The phrase also describes how these numbers are represented mathematically or geometrically. In nature, vectors may be found in electromagnetic fields, weight, momentum, force, and velocity.
4 + 4 + 7 + 6 + 2 = 23 miles.
vectors are -
4 miles E: <4, 0>
4 miles SE: <2√2, -2√2>
7 miles S: <0, -7>
6 miles SW: <-3√2, -3√2>
2 miles E: <2, 0>
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